Recovering multiple fractional orders in time-fractional diffusion in an unknown medium

@article{Jin2021RecoveringMF,
  title={Recovering multiple fractional orders in time-fractional diffusion in an unknown medium},
  author={Bangti Jin and Yavar Kian},
  journal={Proceedings of the Royal Society A},
  year={2021},
  volume={477}
}
In this work, we investigate an inverse problem of recovering multiple orders in a time-fractional diffusion model from the data observed at one single point on the boundary. We prove the unique recovery of the orders together with their weights, which does not require a full knowledge of the domain or medium properties, e.g. diffusion and potential coefficients, initial condition and source in the model. The proof is based on Laplace transform and asymptotic expansion. Furthermore, inspired by… 

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